Answer:
see below
Step-by-step explanation:
We can determine how much 12 ounces cost by using ratios
5 ounces 12 ounces
-------------- = -------------------
2.35 x
Using cross products
5x = 12*2.35
5x = 28.2
Divide each side by 5
5x/5 = 28.2/5
x =5.64
If she has 10 dollars
5 ounces y ounces
-------------- = -------------------
2.35 10
5*10 = 2.35y
50 = 2.35y
Divide each side by 2.35
50/2.35 = 2.35y/2.35
21.27659574 =y
She can buy 21.3 ounces
Answer:
50 total penguins
Step-by-step explanation:
In the following example x = the total number of penguins.
Set it up as follows.
15 over x = 30 over 100
Cross multiply the numbers. (30 times x) and (15 times 100)
This results in 30x = 1500.
Divide both sides by 30 which results in x = 50.
This means that there is a total of 50 penguins.
In the following example x = the number of Emperor penguins.
If you would like to double check this, set up as follows.
x over 50 = 30 over 100
Cross multiply the numbers. (30 times 50) (100 times x)
This results in 100x = 1500.
Divide both sides by 100 which results in x =1 5.
This means that there are 15 Emperor penguins.
One tenth is 0.1. One hundredth is 0.01. Therefore, one ten thousandth is 0.00001. The answer is 111.11111.
We have the following curve:

So we need to find <span>an equation of the
tangent line to this curve at the point

. So let's find out if this point, in fact, belongs to the curve:
</span>

.
<span>
We also know that:
</span>

<span>
Given that the point is:
</span>

Then we will say that:

Therefore:

Computing the derivative:

So the derivative solved for

is in fact the
slope of the line at the point

, then:

Finally, the tangent line is:

<em>This is shown in the figure below.</em><span>
</span>
Answer:
a=f/3
b=8or it g
gf/3
c=-3gx*2
bonus=f(x)=h(−4x)
Step-by-step explanation: